Testing Some f(R,T) Gravity Models from Energy Conditions

Abstract

We consider f(R,T) theory of gravity, where R is the curvature scalar and T is the trace of the energy momentum tensor. Attention is attached to the special case, f(R,T)=R+2f(T) and two expressions are assumed for the function f(T),(a1Tn+b1)/(a2Tn+b2) and a3Inq(b3Tm), where a1,a2 ,b1,b2,n,a3 ,b3,q and m are input parameters. We observe that by adjusting suitably these input parameters, energy conditions can be satisfied. Moreover, an analysis of the perturbations and stabilities of de Sitter solutions and power-law solutions is performed with the use of the two models. The results show that for some values of the input parameters, for which energy conditions are satisfied, de Sitter solutions and power-law solutions may be stables.

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F. Alvarenga, M. Houndjo, A. Monwanou and J. Orou, "Testing Some f(R,T) Gravity Models from Energy Conditions," Journal of Modern Physics, Vol. 4 No. 1, 2013, pp. 130-139. doi: 10.4236/jmp.2013.41019.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] S. Nojiri and S. D. Odintsov, “Introduction to Modified Gravity and Gravitational Alternative for Dark Energy,” International Journal Geometrical Method Modern Physics, Vol. 4, No. 1, 2007, p. 115. doi:10.1142/S0219887807001928
[2] S. Nojiri and S. D. Odintsov, arXiv: 0801.4843 [astro-ph]. arXiv: 0807.0685 [hep-th].
[3] S. Nojiri, S. D. Odintsov and P. V. Tretyakov, “From Inflation to Dark Energy in the Non-Minimal Modified Gravity,” Progress of Theoritical Physics Supplement, No. 172, 2008, pp. 81-89. doi:10.1143/PTPS.172.81
[4] A. de la Cruz-Dombriz and D. Seaz-Gomez.
[5] S. Nojiri and S. D. Odintsov, “Modified Gauss-Bonnet Theory as Gravitational Alternative for Dark Energy,” Physical Letter B, Vol. 613, No. 1-2, 2005, pp. 1-6. doi:10.1016/j.physletb.2005.10.010
[6] T. Harko, F. S. Lobo, S. Nojiri and S. D. Odintsov, “f(R,T) Gravity,” Physical Review D, Vol. 84, No. 2, 2011, Article ID: 024020. doi:10.1103/PhysRevD.84.024020
[7] M. J. S. Houndjo, “Reconstruction of f(R,T) Gravity Describing Matter Dominated and Accelerated Phases,” International Journal of Modern Physics D, Vol. 21, 2012, Article ID: 1250003.
[8] M. J. S. Houndjo and O. F. Piattella, “Reconstructing f(R, T) Gravity from Holographic Dark Energy,” International Journal of Modern Physics D, Vol. 21, No. 3, 2012, Article ID: 1250024. doi:10.1142/S0218271812500241
[9] M. Jamil, D. Momeni, M. Reza and R. Myrzakulov, “Reconstruction of Some Cosmological Models in f(R,T) Gravity,” European Physics Journal C, Vol. 72, 2012, p. 1999. doi:10.1140/epjc/s10052-012-1999-9
[10] S. Nojiri, S. D. Odintsov and D. Saez-Domez, “Cosmological Reconstruction of Realistic Modified F(R) Gravities,” Physical Letter B, Vol. 681, No. 1, 2009, pp. 74-80. doi:10.1016/j.physletb.2009.09.045
[11] M. J. S. Houndjo, C. E. M. Batista, J. P. Campos and O. F. Piattella, “Finite-Time Singularities in f(R,T) and the Effect of Conformal Anomaly,” arXiv: 1203.6084 [gr-qc].
[12] J. Santos, J. S. Alcaniz, N. Pires and M. J. Reboucas, “Energy Conditions and Cosmic Acceleration,” Physical Review D, Vol. 75, No. 8, 2007, Article ID: 083523. doi:10.1103/PhysRevD.75.083523
[13] S. E. Perez Bergliaffa, “Constraining f(R) Theories with the Energy Conditions,” Physical Letter B, Vol. 642, No. 4, 2006, pp. 311-314. doi:10.1016/j.physletb.2006.10.003
[14] J. D. Barrow and D. J. Shaw, “The Value of the Cosmological Constant,” General Relativity and Gravitation, Vol. 43, No. 10, 2011, pp. 2555-2560. doi:10.1007/s10714-011-1199-1
[15] J. Santos and J. S. Alcaniz, Physical Letter B, Vol. 619, 2005, p. 11; M. Visser, Science, Vol. 276, 1997, p. 88; Physical Review D, Vol. 56, 1997, p. 7578.
[16] D. Brown, “Action Functional for Relativistic Perfects Fluids,” Classical and Quantum Gravity, Vol. 10, No. 8, 1993, pp. 1579-1606. doi:10.1088/0264-9381/10/8/017
[17] N. M. García, T. Harko, F. S. N. Lobo and J. P. Mimoso, “Energy Conditions in Modified Gauss-Bonnet Gravity,” Physical Review D, Vol. 83, 2011, Article ID: 104032.
[18] S. W. Hawking and G. F. R. Ellis, “The Large Structure of Space-Time,” Cambridge University Press, Cambridge 1999.
[19] M. O. Tahim, R. R. Landim and C. A. S. Almeida, “Spacetime as a Deformable Solid,” arXiv: 0705.4120 [gr-qc].
[20] A. de la Cruz-Dombriz and D. Saez-Gomez.

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